Simplify :- 45% of 1770 ÷ 3 = 657 - ?

Options

A. a. 391.5
B. b. 401.5
C. c. 372.5
D. d. 297.5

Answer

To simplify the given expression step by step, we will follow the calculations as outlined in the video transcript.

### Step-by-Step Solution:

1. **Calculate 45% of 1770**:
\[ 45\% \text{ of } 1770 = \frac{45}{100} \times 1770 \]

2. **Convert the percentage to a fraction and multiply**:
\[ = \frac{45 \times 1770}{100} \]

3. **Perform the multiplication**:
\[ 45 \times 1770 = 79650 \]
So,
\[ \frac{79650}{100} = 796.5 \]

4. **Divide by 3**:
\[ \frac{796.5}{3} \]

5. **Perform the division**:
\[ 796.5 \div 3 = 265.5 \]

6. **Set up the equation**:
Now we have:
\[ 265.5 = 657 - ? \]

7. **Rearranging the equation to find the unknown**:
\[ ? = 657 - 265.5 \]

8. **Perform the subtraction**:
\[ 657 - 265.5 = 391.5 \]

### Final Answer:
Thus, the value of the question mark (?) is:
\[ ? = 391.5 \]